28 citations · 72 across the 9 of their papers we have counts for
8 papers · 1 filter
Spectral properties of the Neumann-Poincaré operator and cloaking by anomalous localized resonance for the elasto-static system
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2
We first investigate spectral properties of the Neumann-Poincaré (NP) operator for the Lamé system of elasto-statics. We show that the elasto-static NP operator can be symmetrized…
Spectral properties of the Neumann-Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients
Hyeonbae Kang, Kyoungsun Kim, Hyundae Lee +2
We consider well-posedness of the boundary value problem in presence of an inclusion with complex conductivity . We first consider the transmission problem in and…
Bounds on the size of an inclusion using the translation method for two-dimensional complex conductivity
Hyeonbae Kang, Kyoungsun Kim, Hyundae Lee +2
The size estimation problem in electrical impedance tomography is considered when the conductivity is a complex number and the body is two-dimensional. Upper and lower bounds on th…
Cloaking due to anomalous localized resonance in plasmonic structures of confocal ellipses
Daewon Chung, Hyeonbae Kang, Kyoungsun Kim +1
If a core of dielectric material is coated by a plasmonic structure of negative dielectric material with non-zero loss parameter, then anomalous localized resonance may occur as th…
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
Habib Ammari, Hyeonbae Kang, Kyoungsun Kim +1
We consider the Lamé system of linear elasticity when the inclusion has the extreme elastic constants. We show that the solutions to the Lamé system converge in appropriate -n…
Single-logarithmic stability for the Calderón problem with local data
Giovanni Alessandrini, Kyoungsun Kim
We prove an optimal stability estimate for Electrical Impedance Tomography with local data, in the case when the conductivity is precisely known on a neighborhood of the boundary.…